Ripheus23

Continuum Hyperthesis

This idea is that the value of c [ = the continuum] is somehow either the second of a series or the place after the second move across a series. So it would be either aleph-one (a), aleph-two (b), aleph-aleph-zero (c), aleph-aleph-one (d), aleph-aleph-two (e), or aleph-aleph-aleph-zero (f), aleph-aleph-aleph-one (g), or aleph-aleph-aleph-two (h). I'm going to assume for the time being that (a) and (c) are ruled out.

Now, if (d) is true, which is my new belief, then 2^[aleph-0] = aleph-aleph-one, which means X^[aleph-n] = [as many alephs as X]-(n+1). If this is so, then all the alephs from aleph-aleph-one through aleph-aleph-n can be given from the first list of alephs. Accordingly, X^[aleph-aleph-n] would map outside of the set of lists, i.e. out of the first transquare. If this is so, and if the first set on the next set of lists is equivalent to [aleph-zero]-aleph-zero [i.e. an infinity of aleph-glyphs subscripted by zero], then 2^[aleph-aleph-zero] maps to the next dimension of lists, 2^[aleph-aleph-aleph-zero] to another dimension still, and so on and on...